Details

Time bar (total: 18.9s)

sample24.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done11
111
010

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.7b

localize19.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
29.2b
(sqrt (+ (* re re) (* im im)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
22×log-pow
20×pow1
16×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
6×sqrt-pow1 pow1/2 associate-/l*
4×associate-/r* add-cbrt-cube sqrt-div add-exp-log
3×sqrt-prod
2×log-div flip3-+ div-sub flip-+ insert-posit16 add-log-exp
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg div-exp div-inv
Counts
2 → 65
Calls
2 calls:
45.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
9.0ms
(sqrt (+ (* re re) (* im im)))

series247.0ms

Counts
2 → 6
Calls
2 calls:
197.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
50.0ms
(sqrt (+ (* re re) (* im im)))

simplify3.8s

Counts
71 → 71
Iterations
IterNodes
done5002
42704
31157
2504
1229
0118

prune477.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.6b

localize32.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
0.5b
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
30.4b
(log (+ (* re re) (* im im)))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
89×times-frac
82×add-sqr-sqrt
54×sqrt-prod
52×*-un-lft-identity add-cube-cbrt
33×pow1
32×associate-*r*
28×log-pow
25×associate-*l*
18×add-exp-log
17×add-cbrt-cube
9×unswap-sqr
7×associate-/r*
5×cbrt-undiv div-exp
4×log-div prod-exp cbrt-unprod associate-/l*
3×log-prod insert-posit16 div-inv add-log-exp
2×flip3-+ div-sub flip-+
1×frac-times clear-num frac-2neg rem-log-exp pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
3 → 156
Calls
3 calls:
47.0ms
(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
33.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
11.0ms
(log (+ (* re re) (* im im)))

series468.0ms

Counts
3 → 9
Calls
3 calls:
185.0ms
(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
214.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
68.0ms
(log (+ (* re re) (* im im)))

simplify2.1s

Counts
165 → 165
Iterations
IterNodes
done5000
21723
1551
0208

prune711.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.4b

localize43.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* (/ 1/2 (sqrt (log 10))) (log (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10))))
0.3b
(* (/ 1/2 (sqrt (log 10))) (log (+ (* re re) (* im im))))
30.4b
(log (+ (* re re) (* im im)))

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
48×add-exp-log
44×times-frac
43×add-sqr-sqrt
35×*-un-lft-identity add-cube-cbrt
29×add-cbrt-cube associate-*r*
26×associate-*l*
25×sqrt-prod
22×prod-exp
18×pow1
12×cbrt-unprod
11×div-exp
9×log-prod
8×log-pow
6×cbrt-undiv
4×pow-prod-down associate-*l/
3×distribute-rgt-in rec-exp distribute-lft-in 1-exp insert-posit16 add-log-exp unswap-sqr
2×log-div *-commutative div-inv
1×frac-times flip3-+ rem-log-exp associate-*r/ un-div-inv flip-+
Counts
3 → 127
Calls
3 calls:
109.0ms
(* (* (/ 1/2 (sqrt (log 10))) (log (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10))))
34.0ms
(* (/ 1/2 (sqrt (log 10))) (log (+ (* re re) (* im im))))
10.0ms
(log (+ (* re re) (* im im)))

series659.0ms

Counts
3 → 9
Calls
3 calls:
227.0ms
(* (* (/ 1/2 (sqrt (log 10))) (log (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10))))
354.0ms
(* (/ 1/2 (sqrt (log 10))) (log (+ (* re re) (* im im))))
77.0ms
(log (+ (* re re) (* im im)))

simplify2.4s

Counts
136 → 136
Iterations
IterNodes
done5000
21734
1600
0221

prune646.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.4b

localize79.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (cbrt 1/2) (cbrt 1/2))
1.0b
(sqrt (sqrt (log 10)))
1.0b
(sqrt (sqrt (log 10)))
30.4b
(log (+ (* re re) (* im im)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
24×sqrt-prod
18×pow1
17×*-un-lft-identity add-cube-cbrt
16×cbrt-prod
8×sqrt-pow1
7×add-exp-log
6×pow1/3 swap-sqr associate-*r* associate-*l*
4×rem-sqrt-square add-cbrt-cube pow1/2 insert-posit16 add-log-exp unswap-sqr
3×log-prod log-pow
2×log-div pow-prod-down pow-sqr pow-prod-up
1×pow2 flip3-+ pow-plus rem-log-exp prod-exp *-commutative cbrt-unprod flip-+
Counts
4 → 98
Calls
4 calls:
23.0ms
(* (cbrt 1/2) (cbrt 1/2))
5.0ms
(sqrt (sqrt (log 10)))
6.0ms
(sqrt (sqrt (log 10)))
21.0ms
(log (+ (* re re) (* im im)))

series91.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(* (cbrt 1/2) (cbrt 1/2))
0.0ms
(sqrt (sqrt (log 10)))
0.0ms
(sqrt (sqrt (log 10)))
91.0ms
(log (+ (* re re) (* im im)))

simplify3.5s

Counts
104 → 104
Iterations
IterNodes
done5000
54948
41890
3929
2478
1232
0119

prune622.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 6.3b

regimes925.0ms

Accuracy

57.8% (10.1b remaining)

Error of 17.2b against oracle of 7.2b and baseline of 31.0b

bsearch144.0ms

Steps
ItersRangePoint
9
3.744575579279384e+78
4.277967120250836e+83
9.628393082979933e+82
8
-6.465553349696891e+100
-4.272793295315361e+97
-3.962076038462479e+99

simplify15.0ms

Iterations
IterNodes
done42
142
034

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.3s8000×body80valid